2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218671We give a characterization of the internally 4-connected binary matroids that have no minor isomorphic to M(K3,3). Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.113 pages, 21 figuresCombinatorics05B35The internally 4-connected binary matroids with no M(K3,3)-minortext